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Finding the Fourth Proportional to 1,024.20, 1,414.62 and 815.09

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Solution

The fourth proportional to 1,024.20, 1,414.62 and 815.09 is: 1,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.20 : 1,414.62 = 815.09 : x
  2. Step 2: Convert to fraction form
    1,024.20/1,414.62 = 815.09/x
  3. Step 3: Cross multiply
    1,024.20x = 1,414.62 × 815.09
  4. Step 4: Simplify right side
    1,024.20x = 1,153,035.54
  5. Step 5: Solve for x
    x = 1,153,035.54/1,024.20
  6. Step 6: Final answer
    x = 1,125.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.